Q: What are the factor combinations of the number 120,241,375?

 A:
Positive:   1 x 1202413755 x 2404827525 x 4809655125 x 961931397 x 3028751985 x 605752423 x 496259925 x 12115
Negative: -1 x -120241375-5 x -24048275-25 x -4809655-125 x -961931-397 x -302875-1985 x -60575-2423 x -49625-9925 x -12115


How do I find the factor combinations of the number 120,241,375?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 120,241,375, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 120,241,375
-1 -120,241,375

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,241,375.

Example:
1 x 120,241,375 = 120,241,375
and
-1 x -120,241,375 = 120,241,375
Notice both answers equal 120,241,375

With that explanation out of the way, let's continue. Next, we take the number 120,241,375 and divide it by 2:

120,241,375 ÷ 2 = 60,120,687.5

If the quotient is a whole number, then 2 and 60,120,687.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 120,241,375
-1 -120,241,375

Now, we try dividing 120,241,375 by 3:

120,241,375 ÷ 3 = 40,080,458.3333

If the quotient is a whole number, then 3 and 40,080,458.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 120,241,375
-1 -120,241,375

Let's try dividing by 4:

120,241,375 ÷ 4 = 30,060,343.75

If the quotient is a whole number, then 4 and 30,060,343.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 120,241,375
-1 120,241,375
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15251253971,9852,4239,92512,11549,62560,575302,875961,9314,809,65524,048,275120,241,375
-1-5-25-125-397-1,985-2,423-9,925-12,115-49,625-60,575-302,875-961,931-4,809,655-24,048,275-120,241,375

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